Question

|3-4x|=0; |7+3|=0; |2x+5|=0 ​

Answer 1

Ответ:

скинула фото :)

Объяснение:

Answer 2

To solve each of these absolute value equations, you need to isolate the variable within the absolute value expression and consider both the positive and negative cases.

1. |3 - 4x| = 0:

   Here, you have an absolute value equal to 0. The absolute value of any real number is always non-negative, and it's 0 only when the expression inside the absolute value is 0. So, set the expression inside the absolute value equal to 0:

   3 - 4x = 0

   Now, solve for x:

   4x = 3 x = 3/4

   So, the solution to this equation is x = 3/4.

2. |7 + 3| = 0:

   Similarly, the absolute value of any real number is 0 only when the expression inside the absolute value is 0. So, you have:

   7 + 3 = 0

   This equation simplifies to:

   10 = 0

   However, this equation is not possible because 10 can never be equal to 0. Therefore, there are no solutions to this equation.

3. |2x + 5| = 0:

   Again, set the expression inside the absolute value equal to 0:

   2x + 5 = 0

   Now, solve for x:

   2x = -5 x = -5/2

   So, the solution to this equation is x = -5/2.

In summary:

1. |3 - 4x| = 0 has one solution: x = 3/4.
2. |7 + 3| = 0 has no solutions.
3. |2x + 5| = 0 has one solution: x = -5/2.